Steenrod operations and Hochshild homology

Details Steenrod operations and Hochshild homology Steenrod operations and Hochshild homology

2001-09-20

arxiv.org/abs/math/0109146v1

Mathematics

Algebraic Topology

20 pages

Scientific paper

Let $X$ be a simply connected space and ${\Bbb F}_p$ be a prime field. The algebra of normalized singular cochains $N^*(X; {\Bbb F}_p)$ admits a natural homotopy structure which induces natural Steenrod operations on the Hochschild homology $HH_* N^*(X;{\Bbb F}_p)$ of the space $X$. The primary purpose of this paper is to prove that the J. Jones isomorphism $HH_*N^*(X;{\Bbb F}_p) \cong H ^*(X^{S^1};{\Bbb F}_p)$ identifies theses Stenrood operations with those defined on the cohomology of the free loop space with coefficients in ${\Bbb F}_p$. The other goal of this paper is to describe a theoritic model which allows to do some computations.

Affiliated with

Also associated with

No associations

Rating

Steenrod operations and Hochshild homology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Steenrod operations and Hochshild homology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Steenrod operations and Hochshild homology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-722942